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  <meta name="description" content="系列文章 GeoHash系列 —— 一、基本介绍 GeoHash系列 —— 二、算法步骤 上集回顾上一篇文章我们简单了了解了一下GeoHash的思想，你可以通过这个链接来查看上一篇文章。 算法步骤以下以北海公园为例介绍GeoHash算法的计算步骤。    根据经纬度计算GeoHash二进制编码  地球纬度区间是[-90,90]， 北海公园的纬度是39.928167，可以通过下面算法对纬度39.92">
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          GeoHash系列 —— 二、算法步骤
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        <p>系列文章</p>
<p><a target="_blank" rel="noopener" href="http://historyzhang.github.io/2015/08/26/2015-08-26-geohash-xi-lie-zhi-yi-ji-ben-jie-shao/"><code>GeoHash</code>系列 —— 一、基本介绍</a></p>
<p><a target="_blank" rel="noopener" href="http://historyzhang.github.io/2015/08/27/2015-08-27-geohash-xi-lie-er-suan-fa-bu-zou/"><code>GeoHash</code>系列 —— 二、算法步骤</a></p>
<h1 id="上集回顾"><a href="#上集回顾" class="headerlink" title="上集回顾"></a>上集回顾</h1><p>上一篇文章我们简单了了解了一下<code>GeoHash</code>的思想，你可以通过<a target="_blank" rel="noopener" href="http://historyzhang.github.io/2015/08/26/2015-08-26-geohash-xi-lie-zhi-yi-ji-ben-jie-shao/">这个链接</a>来查看上一篇文章。</p>
<h1 id="算法步骤"><a href="#算法步骤" class="headerlink" title="算法步骤"></a>算法步骤</h1><p>以下以北海公园为例介绍<code>GeoHash</code>算法的计算步骤。</p>
<img src="/images/blog/geohash_3.jpg" class="">

<ul>
<li>根据经纬度计算<code>GeoHash</code>二进制编码</li>
</ul>
<p>地球纬度区间是<code>[-90,90]</code>， 北海公园的纬度是<code>39.928167</code>，可以通过下面算法对纬度<code>39.928167</code>进行逼近编码:</p>
<p>1）区间[<code>-90,90]</code>进行二分为<code>[-90,0)</code>,<code>[0,90]</code>，称为左右区间，可以确定<code>39.928167</code>属于右区间<code>[0,90]</code>，给标记为<code>1</code>；</p>
<p>2）接着将区间<code>[0,90]</code>进行二分为 <code>[0,45)</code>,<code>[45,90]</code>，可以确定<code>39.928167</code>属于左区间 <code>[0,45)</code>，给标记为<code>0</code>；</p>
<p>3）递归上述过程<code>39.928167</code>总是属于某个区间<code>[a,b]</code>。随着每次迭代区间<code>[a,b]</code>总在缩小，并越来越逼近<code>39.928167</code>；</p>
<p>4）如果给定的纬度<code>x（39.928167）</code>属于左区间，则记录<code>0</code>，如果属于右区间则记录<code>1</code>，这样随着算法的进行会产生一个序列<code>1011100</code>，序列的长度跟给定的区间划分次数有关。</p>
<span id="more"></span>
<p>根据纬度算编码</p>
<table>
<thead>
<tr>
<th align="center">bit</th>
<th align="center">min</th>
<th align="center">mid</th>
<th align="center">max</th>
</tr>
</thead>
<tbody><tr>
<td align="center">1</td>
<td align="center">-90.000</td>
<td align="center">0.000</td>
<td align="center">90.000</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">0.000</td>
<td align="center">45.000</td>
<td align="center">90.000</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">0.000</td>
<td align="center">22.500</td>
<td align="center">45.000</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">22.500</td>
<td align="center">33.750</td>
<td align="center">45.000</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">33.7500</td>
<td align="center">39.375</td>
<td align="center">45.000</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">39.375</td>
<td align="center">42.188</td>
<td align="center">45.000</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">39.375</td>
<td align="center">40.7815</td>
<td align="center">42.188</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">39.375</td>
<td align="center">40.07825</td>
<td align="center">40.7815</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">39.375</td>
<td align="center">39.726625</td>
<td align="center">40.07825</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">39.726625</td>
<td align="center">39.9024375</td>
<td align="center">40.07825</td>
</tr>
</tbody></table>
<p>同理，地球经度区间是<code>[-180,180]</code>，可以对经度<code>116.389550</code>进行编码。</p>
<table>
<thead>
<tr>
<th align="center">bit</th>
<th align="center">min</th>
<th align="center">mid</th>
<th align="center">max</th>
</tr>
</thead>
<tbody><tr>
<td align="center">1</td>
<td align="center">-180</td>
<td align="center">0.000</td>
<td align="center">180</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">0.000</td>
<td align="center">90</td>
<td align="center">180</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">90</td>
<td align="center">135</td>
<td align="center">180</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">90</td>
<td align="center">112.5</td>
<td align="center">135</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">112.5</td>
<td align="center">123.75</td>
<td align="center">135</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">112.5</td>
<td align="center">118.125</td>
<td align="center">123.75</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">112.5</td>
<td align="center">115.3125</td>
<td align="center">118.125</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">115.3125</td>
<td align="center">116.71875</td>
<td align="center">118.125</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">115.3125</td>
<td align="center">116.015625</td>
<td align="center">116.71875</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">116.015625</td>
<td align="center">116.3671875</td>
<td align="center">116.71875</td>
</tr>
</tbody></table>
<ul>
<li>组码</li>
</ul>
<p>通过上述计算，纬度产生的编码为<code>10111 00011</code>，经度产生的编码为<code>11010 01011</code>。偶数位放经度，奇数位放纬度，把2串编码组合生成新串：<code>11100 11101 00100 01111</code>。</p>
<p>最后使用用0-9、b-z（去掉a, i, l, o）这32个字母进行base32编码，首先将<code>11100 11101 00100 01111</code>转成十进制，对应着<code>28、29、4、15</code>，十进制对应的编码就是<code>wx4g</code>。同理，将编码转换成经纬度的解码算法与之相反，具体不再赘述。</p>
<img src="/images/blog/geohash_4.jpg" class="">

<h1 id="编码长度与精度"><a href="#编码长度与精度" class="headerlink" title="编码长度与精度"></a>编码长度与精度</h1><p>下表摘自维基百科：<a target="_blank" rel="noopener" href="http://en.wikipedia.org/wiki/Geohash">http://en.wikipedia.org/wiki/Geohash</a></p>
<p>以看出，当geohash base32编码长度为8时，精度在19米左右，而当编码长度为9时，精度在2米左右，编码长度需要根据数据情况进行选择。</p>
<img src="/images/blog/geohash_5.jpg" class="">

<h1 id="下集预告"><a href="#下集预告" class="headerlink" title="下集预告"></a>下集预告</h1><p>本篇主要说了一下将经纬度转化为字符串编码，下一节将解释一下上述做法的原理。</p>

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